[tex]Formula\ for\ area\ of\ rectangle:\\\\
Area=width*length\\\\
Area=38\frac{1}{4}=\frac{153}{4}m^2\\
width=4\frac{1}{2}=\frac{9}{2}*m\\\\ \frac{153}{4}=\frac{9}{2}*length\ \ |Divide\ by\ \frac{9}{2}\\\\
\frac{153}{4}*\frac{2}{9}=length\\\\
length=\frac{17}{2}=8,5meters\\\\
Length\ is\ equal\ to\ 8,5meters.
[/tex]
